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Final_rev2-solutions-1

Course: MATH 305G, Spring 2011
School: University of Texas
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Word Count: 4428

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208 Version Final rev2 laude (51635) This print-out should have 60 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 5.0 points Consider the irreversible reaction 1 3. I, II, III 4. III only 5. II only 6. I, II Which of the following correctly expresses the rate of change of [B] ? [B] 1 = (rate of rxn) t 2 [B] 2. = +(rate of rxn) t 1 [B] = +...

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208 Version Final rev2 laude (51635) This print-out should have 60 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 5.0 points Consider the irreversible reaction 1 3. I, II, III 4. III only 5. II only 6. I, II Which of the following correctly expresses the rate of change of [B] ? [B] 1 = (rate of rxn) t 2 [B] 2. = +(rate of rxn) t 1 [B] = + (rate of rxn) 3. t 2 [B] 4. = (rate of rxn) t [B] = 2 (rate of rxn) correct 5. t [B] 6. = +2 (rate of rxn) t Explanation: As B is a reactant and consequently disappears during the reaction, its rate of change will be negative and the inverse of the coecient is used when writing the rate: 1. 1 [B] 2 t [B] 2 (rate of rxn) = t (rate of rxn) = 002 5.0 points Which of the following statements is/are always true concerning Kw ? I) It gets larger as the temperature increases II) It equals 1014 III) Kw = [H+ ][OH ] 7. I, III correct Explanation: All equilibrium processes are temperature dependent, and because auto-protolysis is endothermic, Kw increases as temperature increase. Thus statement I is true, but statement II is only true at room temperature. Statement III is the denition of Kw . 003 5.0 points Consider the potential energy diagram shown below. Energy (kJ) A + 2B 3C. 350 B 300 250 A Reaction progress What is the activation energy Ea for the reaction A B? 1. 350 kJ 2. 250 kJ 3. 150 kJ 4. 100 kJ correct 5. 50 kJ 1. I only Explanation: We need enough energy to get to the top of the hill in order to fall down to the products. So the energy must raise from 250 kJ (at A) up to the top of the hill at 350 kJ: 2. II, III 350 kJ 250 kJ = 100 kJ Version 208 Final rev2 laude (51635) 2 Explanation: 004 5.0 points Which of the following pairs of solutions would result in a buer upon mixing? 1. 1 L of 0.5 M CH3 NH2 ; 1 L of 0.5 M HF 2. 1 L of 2 M (CH3 )2 NH2 Cl; 1 L of 1 M HCl 3. 2 L of 0.5 M NaHCOO; 1 L of 1 M LiOH 1 1 = akt [A]t [A]0 1 1 = + akt [A]t [A]0 1 + = 0.400 (0.103 M1 min1 ) (60 min) = 8.68 [A]t = 0.115 M 4. 0.25 L of 1 M H2 SO3 ; 0.5 L of 1 M NH3 5. 0.5 L of 1 M Ca(OH)2 ; 2 L of 1 M CH3 COOH correct Explanation: A buer prepared by a neutralization reaction requires either a weak acid and less strong base or a weak base and less strong acid. The only pair of substances that is usable is the strong base Ca(OH)2 and the weak acid CH3 COOH. 005 5.0 points Consider the following reaction and its rate constant. AB k = 0.103 M 1 min1 What will be the concentration of A after 1 hour if the reaction started with a concentration of 0.400 M ? 1. 0.115 M correct 006 5.0 points A fatty acid consists of a ten-carbon alkane with a carboxylic acid functional group. What would you propose as the name for this fatty acid? 1. dodecanoic acid 2. decanoic acid correct 3. dodecanoate acid 4. dodecanol 5. decanecarboxylate Explanation: The prex for 10 carbons in a chain is deca. 007 5.0 points For a reaction in acid involving the following two half reactions, Fe3+ + e 2. 0.384 M 3. 0.308 M 4. 0.236 M Cr2 O2 + 6 e 7 Fe2+ 2 Cr3+ what is the coecient for H+ in the balanced reaction? 5. 0.152 M 1. 7 6. 8.28 104 M 2. 36 7. 0.0843 M 3. 14 correct 8. 0.361 M 4. 1 Version 208 Final rev2 laude (51635) 3 Cu Cu2+ 2e- -.34 V That gives an overall potential of +.18 V 5. 6 Explanation: The balanced equation is 14 H+ + 6 Fe3+ + Cr2 O7 6 Fe2+ + 2 Cr3+ + 7 H2 O 008 5.0 points If a battery is dropped into a beaker of salt water (NaCl solution), which gas is formed at the cathode of the resulting electrolytic cell? 1. H2 correct 010 5.0 points Catalytic converters are installed in automobiles to speed up which two of the following reactions? I) CO CO2 II) CO2 CO III) NO2 N2 IV) N2 NO V) O2 O3 VI) O3 O2 2. Na 1. I and III correct 3. Cl 2. II and III 4. O2 3. I and VI 5. H 4. V and VI 6. Cl2 5. I and IV Explanation: 009 5.0 points Consider the reaction 2 Cu+ (aq) Cu(s) + Cu2+ (aq) . If the standard potentials of the Cu2+ |Cu and Cu+ |Cu couples are +0.34 and +0.52 V, respectively, calculate the value of E for the given reaction. 1. + 0.86 V 2. + 0.18 V correct 6. II and IV Explanation: Catalytic converters convert products of incomplete combustion such as unburnt hydrocarbons and CO into CO2 and H2 O. They also convert various oxides of nitrogen formed in the high temperature environment of the combustion back into N2 gas. 011 5.0 points The vapor pressure of pure water (H2 O) at 30 o C is 40 torr. If salt (NaCl) is dissolved into a sample of water until the total vapor pressure of the mixture at 30 o C is 32 torr, what is the mol fraction of salt? 3. 0.18 V 1. 0.65 4. + 0.70 V 2. 0.5 5. 0.70 V 3. 0.2 correct Explanation: combine the 1/2 reactions in the following ways... 2 Cu+ + 2e- 2Cu +.52 V 4. 0.35 5. 0.8 Version 208 Final rev2 laude (51635) Explanation: P = Po water water P water = o Pwater 32 water = = 0. 8 40 salt = 1 water = 1 0.8 = 0.2 4 3. uorine has a high electronegativity. 4. uorine is a strong oxidant. 5. uorine gas is very reactive. 012 5.0 points How much heat is required to vaporize 50.0 g of water if the initial temperature of the water is 25.0C and the water is heated to its boiling point where it is converted to steam? The specic heat capacity of water is 4.18 J ( C)1 g1 and the standard enthalpy of vaporization of water at its boiling point is 40.7 kJ mol1 . Explanation: 014 5.0 points Which of the following metals is not commonly used to prevent the corrosion of steel? 1. Y 2. Na correct 3. Mg 1. 169 kJ 4. Zn 2. 129 kJ correct Explanation: 3. 40.7 kJ 015 4. 23.5 kJ 5.0 points 5. 64.2 kJ Explanation: m = 50 g Tf = 100 C Hvap = 40.7 kJ/mol Ti = 25 C C = 4.18 J/g/ C 50 g (40.7 kJ/mol) 18 g/mol = 128.731 kJ B pH m Hvap H = m C T + MM = (50 g) (4.18 J/g/ C) (100 25) C C A 1 kJ 1000 J + 013 5.0 points The lattice enthalpies of ionic compounds of uoride tend to be very high because 1. the uoride ion has an oxidation state of 1. 2. the uoride ion is small. correct Volume On the titration curve above, at which of the following points does the acid/base calculation used to approximate the pH not require an equilibrium constant? 1. A and C 2. A, B and C Version 208 Final rev2 laude (51635) 3. A and B 4. A 5. C correct 6. B and C 7. B Explanation: Before the equivalence point, the Ka is relevant (point A). At the equivalence point, the Kb of the conjugate base is relevant (point B). Beyond the equivalence point, the solution consists of a strong base and the pH is not calculated using any equilibrium constant (point C). 016 5.0 points A 100 mL portion of 0.3 M acetic acid is being titrated with 0.2 M NaOH solution. What is the pH of the solution after 100 mL of the NaOH solution has been added? The ionization constant of acetic acid is 1.8 105 . CH3 COOH CH3 COO + H+ 0.01 mol 0.02 mol 0. 2 L 0. 2 L 0.05 M 0. 1 M x Thus CH3 COO H+ Ka = [CH3 COOH] 0. 1 x 1.8 105 = 0.05 Ka [CH3 COOH] x = H+ = [CH3 COO ] 1.8 105 (0.05) = 0. 1 = 9 106 Thus 2. pH = 5.05 correct 017 5.0 points The graph is a plot of ln A vs t for the reaction AB 1.2 1.0 0.8 0.4 0.2 3. pH = 6.06 1 4. pH = 4.53 2 3 4 5 rate = k [A] is the rate law for this reaction. What was the initial concentration of [A]? 5. pH = 4.03 Explanation: VCH3 COOH = 100 mL [CH3 COOH] = 0.3 M VNaOH = 100 mL [NaOH] = 0.2 M 5 Ka = 1.8 10 For CH3 COOH, (0.3 M)(0.1 L) = 0.03 mol For NaOH, (0.2 M)(0.1 L) = 0.02 mol 0.03 mol 0.02 mol 0.01 mol pH = log H+ = 5.05 0.6 1. pH = 5.57 CH3 COOH + 5 NaOH NaCH3 COO + H2 O 0.02 mol 0 mol 0.02 mol +0.02 mol 0 mol 0.02 mol 1. 1.1 M 2. 3.0 M correct 3. 1.8 M 4. 5 M 5. 0.6 M Explanation: 018 5.0 points A portion of the polymer Orlon is Version 208 Final rev2 laude (51635) CH CN CH CH H CH CN H CH2 2. a condensation; H2 C CN CH2 CH2 4. a condensation; H3 C 5. an addition; H2 C CN CH 3. a rearrangement; H3 C CH CN CN CN correct 5.0 points Voltmeter 1.56 V e Ag+ cations are attracted to the solid Ag electrode where they are reduced to Ag(s). 020 5.0 points Which one of the following is a covalent hydride? 1. RbH 2. NaH 3. SrH2 4. PH3 correct Explanation: 019 cell the reduction half reaction is Ag+ (g) + e Ag(s) . polymer made from the This is ? monomer ? . 1. an addition; H3 C 6 e V Zinc (Anode) Silver (Cathode) Explanation: Hydrogen forms covalent compounds with nonmetals and ionic compounds with metals. 021 5.0 points Which of the following equations does not require any assumptions in order to provide an accurate solution? Salt bridge to carry ions 1 M Ag+ (aq) 1 M Zn2+ (aq) 5. CaH2 In this electrochemical cell, what is the reduction half reaction? 1. [OH ] = Kb Cb Ca 2. all require assumptions correct 1. Zn(s) Zn2+ (aq) + 2 e 3. [OH ] = (Kb Cb )1/2 2. Zn2+ (aq) + 2 e Zn(s) 4. [H+ ] = Ca 3. Ag+ (g) + e Ag(s) correct 5. [H+ ] = (Ka Ca )1/2 Explanation: All of these equation assume, at the very least, that autoprotolysis is negligible. 4. Ag(s) Ag+ (g) + e Explanation: + 2+ Zn(s) + 2 Ag (aq) Zn (aq) + 2 Ag(s) Reduction occurs at the cathode. In this 022 5.0 points Kc = 2.6 108 at 825 K for the reaction 2 H2(g) + S2 (g) 2 H2S(g) Version 208 Final rev2 laude (51635) The equilibrium concentration of H2 is 0.0020 M and that of S2 is 0.0010 M. What is the equilibrium concentration of H2 S? 1. K = 3. K = 3. 1.02 M correct 4. 0.0010 M PF e PO2 PF e2O3 4. K = Explanation: Kc = 2.6 108 [S2 ]eq = 0.0010 M PO2 3/2 PF e2 O3 Explanation: Set up K , products in the numerator, reactants in the denominator, all raised to respective stoichiometric coecients. 2 H2 S [H2 S]2 [H2 ]2 [S2 ] Kc [H2 ]2 [S2 ] (2.6 108 ) (0.0020 M)2 (0.0010 M) = 1. 0 M 023 2 PF e [H2]eq = 0.0020 M 2 H2(g) + S2 = correct 1 PO2 2. 10 M [H2 S] = 3/2 PO2 2. K = 1. 0.10 M Kc = 1 025 5.0 points 0.5 M of HCOOH is dissolved in water. Which equation describes a possible mass balance equation for this system? 1. CHCOOH = [HCOOH] 5.0 points The functional group O 2. CHCOOH = [HCOO ] is called RCOR 3. CHCOOH = [HCOOH] + [HCOO ] + [H+ ] 4. CHCOOH = [HCOOH] + [HCOO ] correct 1. an amide. 2. an alcohol. 5. CHCOOH = [HCOO ] + [H+ ] 3. an ester. correct 4. a carboxylic acid. 5. an ether. Explanation: RCOOR represents an ester. Explanation: 026 5.0 points Which of the following phase changes is not correctly paired with the sign of its change in enthalpy? 1. melting, H is + 024 7 5.0 points 2. deposition, H is + correct Write the equilibrium expression for the following reaction: 3 2 F e(s) + O2 (g ) Fe2 O3 (s) 2 3. condensation, H is 4. freezing, H is - Version 208 Final rev2 laude (51635) 8 2.3 103 exp 5. vaporization, H is + Explanation: Deposition is an exothermic phase change and H is negative. 027 5.0 points Blood, sweat, and tears are about 0.15 M in sodium chloride. Estimate the osmotic pressure of these solutions at 37 C. The gas constant is 0.0821 L atmmol1 K1 . 1. 11 atm Explanation: k2 Ea ln = k1 R 029 1, 200 8.314 1 1 298 273 1 1 T1 T2 5.0 points Consider the equations Ag+ (aq) + e Ag(s) E = 0.80 V Fe3+ (aq) + e Fe2+ (aq) E = 0.77 V Cu2+ (aq) + 2 e Cu(s) E = 0.34 V Which is the strongest reducing agent? 2. 0.91 atm 1. Fe2+ 3. 7.6 atm correct 2. Cu2+ 4. 1.8 atm 3. Cu correct 5. 3.8 atm 4. Ag+ Explanation: 028 5. Ag 5.0 points If a certain reaction has an activation energy (Ea ) of 1.2 kJ mol1 , and a rate constant (k ) of 2.3 103 s1 at a room temperature, which expression could be used to solve for its rate at 273 K ? Note: exp(x) is another way of writing ex 1. k2 = 2.3 103 exp 2. k2 = 2.3 103 exp correct 3. k2 = 2.3 103 exp 4. k2 = 3 2.3 10 exp 5. k2 = 1. 2 8.314 1, 200 8.314 1 1 273 298 1 1 298 273 1, 200 8.314 1 1 273 298 1. 2 8.314 1 1 298 273 Explanation: The strongest reducing agent must produce e the best. That is an oxidation reaction and Cu2+ (aq) + 2 e Cu(s) has the most positive value (0.34 V vs 0.77 V and 0.80 V). The ions listed (Ag+ , Cu2+ , Fe2+ ) cannot reduce something else because they would have to donate e and go to even higher oxidation states. Only the metals are candidates. 030 5.0 points Rank following salts from least to most soluble: AgI Ksp = 1.5 1016 Ag2 CO3 Ksp = 6.2 1012 Ag2 S Ksp = 1.6 1049 AgSCN Ksp = 1.2 1012 1. Ag2 CO3 lt; Ag2Slt; AgIlt; AgSCN 2. AgI < AgSCN < Ag2 CO3 < Ag2 S 3. AgSCN < Ag2 CO3 < Ag2 S < AgI Version 208 Final rev2 laude (51635) 4. Ag2 Slt; AgIlt; AgSCNlt; Ag2CO3 rect cor- Explanation: Molar solubility can be approximated by taking the nth root of the Ksp where n is the number of ions in the salt. Doing so results in approximate molar solubilities of 108 , 104 , 1016 and 106 M for silver iodide, silver carbonate, silver sulde and silver thiocyanate, respectively. Arranging from least to most soluble produces: Ag2 S < AgI < AgSCN < AgC O3 031 5.0 points The reaction for the synthesis of ammonia N2 (g) + 3 H2 (g) 2 NH3 (g) is exothermic. To obtain the greatest yield of NH3 , this reaction should be carried out at 1. any temperature, any pressure. 2. high temperature, low pressure. 3. high temperature, high pressure. 4. low temperature, high pressure. correct 5. low temperature, low pressure. Explanation: The reaction is exothermic, so heat is produced. Consider the heat given o by the exothermicity to be a product of reaction. the According to Le Chatliers Principle, the reaction will proceed to relieve the stress applied to the system, so a low temperature will result in the forward reaction being favored. This produces heat to relieve the stress of the low temperature. Regarding the pressure, n = 2, so fewer product molecules are present than reactant molecules. High pressure will cause the forward reaction to be favored since this will relieve the pressure. 032 5.0 points The alkali metals all react with water. Which is the MOST reactive metal? 9 1. K 2. Li 3. Rb 4. Cs correct 5. Na Explanation: 033 5.0 points What metal (in various oxidation states) is present at both the cathode and the anode in a typical car battery? 1. cadmium 2. zinc 3. iron 4. nickel 5. copper 6. lead correct Explanation: A car battery is also known as a lead storage battery. 034 5.0 points For a solution labeled 0.10 M H3 PO4 (aq), 1. [H+ ] = 0.30 M. 2. [H+ ] = 0.10 M. 3. [PO3 ] = 0.10 M. 4 4. [H+ ] is less than 0.10 M. correct 5. [H2 PO ] is greater than 0.10 M. 4 Explanation: 035 5.0 points Consider the mechanism NO2 + F2 NO2 F + F k1 , slow F + NO2 NO2 F k2 , fast What is the rate law? 1. rate = k2 [NO2 ] [F] 2. rate = k1 [NO2 ] [F2] correct 3. rate = k2 [NO2 ]2 4. rate = k1 k2 [NO2 ]2 5. rate = k1 [NO2 F] [F] Explanation: 036 5.0 points Many foods will last longer if they are refrigerated. Which of the following BEST explains why this reduction in temperature helps in food storage? Molar Gibbs energy, Gm Version 208 Final rev2 laude (51635) 10 pure liquid solid solvent Temperature, T Referring to the graph above, and using your knowledge of Hsolution , complete the following statement concerning freezing point depression: The molar (enthalpy/entropy) of a pure liquid is always (greater/less) than that of a dilute solution. This lowers the value of Gm for the solvent at all temperatures, thus lowering the freezing point. 1. enthalpy; greater 1. The reactions occuring must be exothermic and cooling causes fewer decomposition products to be formed. 2. entropy; less correct 2. Decomposition has nothing to do with chemistry and is best left to biologists. 4. entropy; greater 3. Solution viscosity increases with lower temperature and slows the reaction. 4. The kinetics for the enzymatic processes of microorganisms responsible for decomposition are slowed. correct Explanation: At lower temperatures the biochemical reactions occur more slowly. 037 5.0 points 3. enthalpy; less Explanation: G = H T S , so in order to decrease G at a given temperature, we have to either decrease H or increase S . We know the Hsolution can be positive or negative depending on the solute, but colligative properties dont depend on the identity of the solute, so the eect on the enthalpy is not a good explanation. We also know that mixtures always have more entropy than pure substances, so that must be the best explanation. 038 5.0 points Which one of the following four is not included in the Arrhenius equation? 1. absolute temperature Version 208 Final rev2 laude (51635) 2. mass of the catalyst correct 3. activation energy 4. specic rate constant Explanation: k = A eEa /(R T ) , which includes terms for a specic rate constant, activation energy, and absolute temperature. The catalyst provides an alternate reaction path with a lower activation energy. 11 041 (part 1 of 2) 5.0 points The solubility product constant for BaF2 at 25 C is Ksp = 1.7 106 . Calculate the molar solubility of barium uoride (BaF2 ) in water at 25 C. 1. 7.5 103 mol/L correct 2. 9.2 104 mol/L 3. 1.3 103 mol/L 4. 1.2 102 mol/L Explanation: 039 5.0 points What is the pH of a solution containing 109 M HClO4 ? 1. 8.768 042 (part 2 of 2) 5.0 points What is the molar solubility of barium uoride (BaF2 ) in 0.15 M NaF at 25 C? 1. 5.7 106 mol/L 2. 5.000 2. 7.6 105 mol/L correct 3. 6.996 correct 3. 1.1 105 mol/L 4. 9.000 4. 1.9 105 mol/L 5. 5.232 Explanation: Explanation: 040 5.0 points These acids are listed in order of decreasing acid strength: HCl, H3 O+ , HCN. List their conjugate bases in order of decreasing base strength (strongest base to weakest base). 043 5.0 points 600 mL of a 0.6 M solution of HClO is titrated with a solution of 0.9 M NaOH. What is the pH after adding 400 mL of the NaOH solution? The ionization constant for HClO is 3.6 108 . 1. OH , CN , Cl 1. 9.5 2. Cl , OH , CN 2. 4.5 3. Cl , H2 O, CN 3. 3.5 4. CN , H2 O, Cl correct 4. 10.5 correct 5. CN , OH , Cl 5. 7.5 6. H2 CN+ , H4 O2+ , H2 Cl+ Explanation: Explanation: 044 5.0 points For gases that do not react chemically with water, the solubility of the gas in water generally (decreases, increases) with an increase in the pressure of the gas and (decreases, increases) with increasing temperature. 1. decreases; increases 2. decreases; decreases Pressure, atm Version 208 Final rev2 laude (51635) 12 Liquid Solid Vapor 3. increases; increases Temperature, K 4. increases; decreases correct Explanation: An increase in pressure means that you have increased the concentration of gas above the solvent surface, thereby increasing the concentration of the gas in the solvent. Increasing the temperature will decrease the solubility of the gas. 045 5.0 points Consider the reaction, The triple point is at 5.1 atm and 217 K. What happens if CO2 ( ) at 25 atm and 350 K is released into a room at 1 atm and 298 K? 1. The liquid vaporizes. correct 2. The liquid freezes. 3. The liquid remains stable. 4. The liquid and solid are in equilibrium. 5. The liquid and vapor are in equilibrium. A(aq ) + B(aq ) C(aq ) The equilibrium constant, K , is 2. If the concentrations of A, B and C are 2 M, 2 M and 10 M, respectively, which of the following would occur? 1. the reaction would move left correct 2. nothing would occur 3. not enough information 4. the reaction would move right Explanation: [C] 10 Q= = = 2. 5 [A] [B] 22 Since Q > K , the reaction would move right. 046 5.0 points The phase diagram for CO2 is given below. Explanation: 047 5.0 points What is the average current generated in the Cu(s) | Cu2+ (aq) || Fe3+(aq) | Fe(s) electrochemical cell if 50 g of Cu(s) are used up in a 24 hour period? Cu2+ + 2 e Cu E = +0.22 V red Fe3+ + 3 e Fe E = 0.04 V red 1. 1.76 amp correct 2. 2.64 amp 3. 13.00 amp 4. 111.85 amp 5. 42.17 amp Explanation: mCu = 50 g The half equation of interest is t = 24 h Version 208 Final rev2 laude (51635) Cu(s) Cu2+ (aq) + 2 e Find the moles of Cu dissolved: (50 g Cu) 1 mol Cu = 0.786832 mol Cu 63.546 g Cu Find the amount of charge carried by the electrons: 2 mol e 96485 C (0.786832 mol Cu) 1 mol Cu 1 mol e = 1.51835 105 C Find the average current in 24 hours: [NO(g)] 0.10 0.10 0.10 0.20 0.20 1. propanol (CH3 CH2 CH2 OH) Rate, M/s 0.0050 0.010 0.015 0.020 0.040 1. None of these [H2 ] [NO] 3. rate = k [H2 ]2 [NO] 4. rate = k [H2 ] [NO]2 correct 5. rate = k [H2 ] [NO] 6. rate = k 048 5.0 points Which of the following alcohols would be the least miscible with water? [H2 (g)] 0.10 0.20 0.30 0.10 0.20 What is the rate law for this reaction? 2. rate = k Colombs = amp second Coulomb amp = second 1.51835 105 C 1h 1 min = 24 h 60 min 60 s = 1.75735 C/s = 1.75735 A 13 [H2 ] [NO]2 Explanation: 050 5.0 points Which of the following products is not correctly associated with the process name? 2. ethanol (CH3 CH2 OH) 1. nitric acid : Ostwald 3. pentanol (CH3 CH2 CH2 CH2 CH2 OH) 2. elemental sulfur : Claus 4. hexanol (CH3CH2 CH2 CH2 CH2 CH2 OH) correct 5. methanol (CH3 OH) Explanation: The polar OH group is miscible with water but as the nonpolar hydrocarbon chain lengthens, solubility decreases. 049 For the reaction 5.0 points 2 NO(g) + 2 H2(g) N2 (g) + 2 H2O(g) the following data were collected. 3. sulfuric acid : Bayer correct 4. ammonia : Haber 5. aluminum metal : Hall Explanation: 051 5.0 points What is the pH of 0.25 M KHCO3 (aq) if Ka1 = 4.3 107 , Ka2 = 5.6 1011 , pKa1 = 6.37 and pKa2 = 10.25? 1. 3.02 2. 6.92 Version 208 Final rev2 laude (51635) 14 Explanation: 3. 8.31 correct O 4. 4.36 5. None of these 6. 7.82 Explanation: pKa1 = 6.37 pKa2 = 10.25 M = 0.25 M This is a salt of a polyprotic acid. The salt will dissociate into solution. The cation is an extremely weak acid and does not aect the equilibrium. The anion can then either protonate or deprotonate; the extent to which these processes occur is determined by the relative values of pKa1 and pKa2 . The pH is 1 pH = (pKa1 + pKa2 ) 2 1 = (6.37 + 10.25) 2 = 8.31 . H + H + Z1 is true; hydration cannot happen with any other solvent than water. Z2 and Z3 are also true since oxygen ( ) will be attracted to the positive Ca+ and the hydrogen ( +) will be attracted to the negative Cl ions. 053 5.0 points When the reaction 3 NO(g) N2 O(g) + NO2 (g) is proceeding under conditions such that 0.015 mol/L of N2 O is being formed each second, the rate of the overall reaction is ? and the rate of change for NO is ? . 1. 0.015 Ms1 ; +0.045 Ms1 2. 0.030 Ms1 ; 0.005 Ms1 Note the pH of a salt solution of a polyprotic acid is independent of the concentration of the salt as long as it is not extremely dilute. 3. 0.015 Ms1 ; 0.005 Ms1 052 5.0 points Consider an aqueous solution of CaCl2 and the following statements: Z1) Hydration is a special case of solvation in which the solvent is water. Z2) The oxygen ends of water molecules are attracted toward Ca2+ ions. Z3) The hydrogen ends of water molecules are attracted toward Cl ions. Which response contains all of the statements that are true and no false statements? 5. none of the other answers is correct 1. Z3 2. Z1 and Z2 4. 0.015 Ms1 ; 0.045 Ms1 correct Explanation: Notice that three moles of NO are required to make one mole of N2 O in this reaction, so the rate of disappearance of NO (which has a negative sign) is three times the rate of appearance of N2 O. 054 5.0 points 181 mL of an unknown HCl solution was neutralized in a titration with 36.2 mL of 0.250 M NaOH. What is the molarity of the unknown HCl solution? 3. Z1, Z2, and Z3 correct 1. 2.50 101 M 4. Z1 2. 9.05 102 M 5. Z2 3. 1.64 103 M Version 208 Final rev2 laude (51635) 4. 8.00 101 M 5. 5.00 102 M correct Explanation: VHCl = 181 mL VNaOH = 36.2 mL [NaOH] = 0.250 M The balanced equation for this neutralization reaction is HCl + NaOH NaCl + H2 O We determine the moles of NaOH used: ? mol NaOH = 0.0362 L soln 0.250 mol NaOH 1 L soln = 0.00905 mol NaOH From the 1:1 mole ratio in the balanced chemical reaction we know we would need 0.00905 moles of NaOH to neutralize 0.00905 moles HCl. This is the amount of HCl that must have been in the 181 mL sample. Molarity is moles solute per liter of solution: 0.00905 mol NaOH 0.181 L solution = 0.05 M HCl ? M HCl = 055 5.0 points A 0.200 M solution of a weak monoprotic acid HA is found to have a pH of 3.00 at room temperature. What is the ionization constant of this acid? 15 8. 1.0103 Explanation: 056 5.0 points Which of the equilibrium expressions for a triprotic acid H3 A would be involved in the calculation to nd the pH of a solution found from LiCaA and Na2 HA? Assume the K values are far apart and Kw is not involved in the calculation. 1. Ka1 2. Ka1 and Ka2 3. Ka2 4. Ka1 , Ka2 , and Ka3 5. Ka2 and Ka3 6. Ka3 correct Explanation: The salts use HA2 and A3 , so Ka3 is needed. 057 5.0 points For the chemical reaction taking place in a battery, the equilibrium constant is always 1. less than 1 2. less than 0 1. 1.8105 3. twice the G 2. 1.0106 4. twice the voltage 5. greater than 1 correct 3. 5.30 4. 5.010 3 5. 2.0105 6. 5.0106 correct 7. 2.0109 Explanation: The standard cell potential for a battery is by denition positive. The relationship n F E = R T ln K , dictates that a positve value of E will correspond to a value for K greater than 1. 058 5.0 points Version 208 Final rev2 laude (51635) 16 A hypothetical reaction A+2B C+ D is found to be rst order in A and second order in B. What are the units of k , the specic rate constant, if reaction rate is expressed in units of M/s? 1. 0.65 V 2. 0.48 V 3. 0.55 V correct 4. 0.60 V 1 1. M s 3 2. M 5. 0.72 V s 3. M2 s1 correct 4. M2 s1 5. M1 s Explanation: 059 5.0 points Which of the following statements about the Clausius Clapeyron equation is not true? 1. As intermolecular forces increase, Hvap increases and results in a lower boiling point. correct 2. The functional relationship between vapor pressure and temperature is exponential. 3. With a temperature/vapor pressure data point and Hvap you can solve for boiling point. 4. One of the reasons the equation does yield an exact answer is that it assume gases are ideal. Explanation: When Hvap increases, so does boiling point - they are directly proportional. 060 5.0 points What is the cell potential of the following cell? Pt | Br(aq, 0.2 M) | Br2( ) || Au+ (aq, 0.7 M) | Au(s) Br2 + 2 e 2 Br Ered = +1.09 V + Au + e Au Ered = +1.69 V Explanation: The reaction involving Br must be reversed (cathode reaction) and the reaction involving Au must be doubled in order to balance the electrons: 2 Br (aq) Br2 ( ) + 2 e Eanode = 1.09 V 2 Au+ (aq) + 2 e 2 Au(s) Ecathode = +1.69 V 2 Br (aq) + 2 Au+ (aq) Br2 ( ) + 2 Au (s) Ecell = +0.60 V To correct for the non-standard concentration we use the Nernst equation: 0.0591 1 log ]2 [Au+ ]2 n [Br 1 0.0591 log = 0. 6 V 2 (0.2 M)2 (0.7 M)2 = 0.549536 V. E = E0
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University of Texas - MATH - 305G
Version 298 Final rev2 laude (51635)This print-out should have 60 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.13. III only4. I, II, III5. II, III001 5.0 pointsThe phase diagram for CO
University of Texas - MATH - 305G
Version PREVIEW HW 01 homan (57225)This print-out should have 9 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.1which of the following could be the graph ofy = f (x + 2) 2 ?1.FuncPcwise01
University of Texas - MATH - 305G
Version PREVIEW HW 06 homan (57225)This print-out should have 12 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.3/21.dy3x=dx5y2.5dy= (xy )1/2dx33.dy5y=dx3xxy + 5x + 3x2 = 4
University of Texas - MATH - 305G
mandel (tgm245) HW11 Radin (56470)This print-out should have 17 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001143.210.0 points42242424242If f is a function on (4, 4) havi
University of Texas - MATH - 305G
mandel (tgm245) HW12 Radin (56470)This print-out should have 15 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.with C an arbitrary constant.00210.0 pointsFind the value of f (0) when10.0
University of Texas - MATH - 305G
mandel (tgm245) HW12 Radin (56470)This print-out should have 15 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.1. f (0) = 32. f (0) = 13. f (0) = 210.0 points0011Find all functions g su
University of Texas - MATH - 305G
mandel (tgm245) HW13 Radin (56470)This print-out should have 20 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsA. False.B. False (f could be constant).C. True.002Consider
University of Texas - MATH - 305G
Version PREVIEW HW 13 homan (57225)This print-out should have 14 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.CalC7c44b001 (part 1 of 3) 10.0 points14. cooking time = 46 minutes5. cooki
University of Texas - MATH - 305G
Version PREVIEW HW 13 homan (57225)This print-out should have 14 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.CalC7c44b001 (part 1 of 3) 10.0 pointsJane wishes to bake an apple pie for de
University of Texas - MATH - 305G
mandel (tgm245) HW14 Radin (56470)This print-out should have 23 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001Rewrite5. x2 = 7Explanation:By exponentiation to the base 3,10.0 points
University of Texas - MATH - 305G
Version PREVIEW HW 14 homan (57225)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.5. limit = 2 correct6. limit =CalC7g04a001 10.0 pointsWhen f, g, F and G are
University of Texas - MATH - 305G
Version PREVIEW HW 14 homan (57225)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.CalC7g04a001 10.0 points1Determine the value oflimx0f ( x)g ( x)whenf (
University of Texas - MATH - 305G
mandel (tgm245) HW15 Radin (56470)This print-out should have 15 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001Find the value of f (1) when1f (x) = 2 tan1. f (1) =2x.4. limit =36
University of Texas - MATH - 305G
Version 079 Make up 1 laude (51635)This print-out should have 30 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.Constants R = 8.314 JK1 mol1[C]c[D]d[A]a [B]bG H TSQDenitionsKw [H+ ][OH
University of Texas - MATH - 305G
Version 139 Make up 2 laude (51635)This print-out should have 20 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001 6.0 pointsHint: You need to do the RICE diagram forthis one. The ratio of
University of Texas - MATH - 305G
Version 095 Make up Test 3 laude (50995)This print-out should have 30 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0016.0 pointsYou set up a bomb calorimetry experiment using 1 liter of w
University of Texas - MATH - 305G
Version 367 Quiz 1 laude (51635)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.ConstantsR = 8.314 J K1 mol1EquationsP2H 11ln=P1RT1 T2 = M RTTb = iKb m
University of Texas - MATH - 305G
Version 180 Quiz 1 Laude (50995)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.Equations = cp = mv[particle]hcE = h =h=phx p 4K.E. = h 0015.0 points
University of Texas - MATH - 305G
Version 376 Quiz 2 laude (51635)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.ConstantsR = 8.314 J K1 mol1Denitions[C]c [D]dQ[A]a [B]bEquationsG = H T SG
University of Texas - MATH - 305G
Version 278 Quiz 2 laude (50995)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.1largest to smallest: Cl , K+ , Ca2+ , Ar, S2 .1. Ar, K+ , Ca2+ , S2 , Cl2. Ca2+
University of Texas - MATH - 305G
Version 126 Quiz 3 laude (51635)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0015.0 points200 mL of a 2 M solution of sodium chlorite(NaClO2) is titrated wit
University of Texas - MATH - 305G
Version 350 Quiz 3 laude (50995)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001 5.0 pointsPredict the electron arrangement in IF+ .411. 2; 6.2. 6; 0.3. 6
University of Texas - MATH - 305G
Version 340 Quiz 4 laude (50995)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001 5.0 pointsRank the following gases in terms of decreasing ideality: Cl2 , H2,
University of Texas - MATH - 305G
Version 445 Quiz 4 laude (51635)1This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.pH=8 means that pOH=6 and [OH ]=106Ksp = [Zn2+ ][OH ]2 (solve for Zn2+ )[Zn2+ ]
University of Texas - MATH - 305G
Version 483 Quiz 5 laude (50995)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.ConstantsR = 8.314 J K1 mol1RT 2.5 kJ mol1(at STP)H f productsH fproducts5.
University of Texas - MATH - 305G
Version 081 Quiz 6 laude (50995)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.ConstantsR = 8.314 J K1 mol1= k NAk = 1.381 1023 J K112. I only3. II only4.
University of Texas - MATH - 305G
to (aqt73) Section 2.2 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0013. limit = 34. limit does not exist5. limit = 410.0 pointsDetermine
University of Texas - MATH - 305G
to (aqt73) Section 2.3 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsDetermine the value of2 f ( x) g ( x)2 f ( x) 5 g ( x)Det
University of Texas - MATH - 305G
to (aqt73) Section 3.1 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 points14. y + 7x + 1 = 05. y + 7x + 3 = 06. y 7x + 3 = 0Consid
University of Texas - MATH - 305G
to (aqt73) Section 3.3 isaacson (55826)This print-out should have 7 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind the value of f (a) whenf ( t) =1. f (a) =Find the x-
University of Texas - MATH - 305G
troyer (lmt836) Section 3.3 isaacson (55826)This print-out should have 7 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsButcfw_2(a + h) + 3(a + 5)= 2h(a + 5) + (2a + 3)(a +
University of Texas - MATH - 305G
to (aqt73) Section 3.4 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.1Find the derivative off ( x) =cos x.5x 4 sin x1. f (x) =4 + 5(x cos
University of Texas - MATH - 305G
troyer (lmt836) Section 3.4 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind the derivative of g wheng (x) = x3 cos x .4. x-i
University of Texas - MATH - 305G
to (aqt73) Section 3.5 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind the derivative off (x) = 3x sin 2x +3cos 2x .22. f
University of Texas - MATH - 305G
troyer (lmt836) Section 3.5 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0014. f (x) =5. f (x) =10.0 points6. f (x) =Find the derivative of
University of Texas - MATH - 305G
to (aqt73) Section 3.5 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0014. f (x) =5. f (x) =10.0 points6. f (x) =Find the derivative off (x
University of Texas - MATH - 305G
troyer (lmt836) Section 3.6 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001003Findxy + 3x + 4x2 = 1 .10.0 pointsdywhendxtan(xy ) = 2x y
University of Texas - MATH - 305G
to (aqt73) Section 3.6 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001xy + 3x + 4x2 = 5 .2. y =y + 3 + 8xxy + 3 + 4xx3. y = y + 3 + 8x
University of Texas - MATH - 305G
troyer (lmt836) Section 3.6 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.3.dydx4.dydx(4, 1)5.dydx(4, 1)6.xy + 3x + 4x2 = 1 .y + 3 +
University of Texas - MATH - 305G
to (aqt73) Section 3.6 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.1.dydx2.dydx3.dydx(5, 1)4.dydx(5, 1)y + 3 + 8xx5.dydx(5,
University of Texas - MATH - 305G
to (aqt73) Section 3.7 isaacson (55826)This print-out should have 4 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsA storm system is headed towards Austin.The Weather Service
University of Texas - MATH - 305G
to (aqt73) Section 3.8 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001In the right-angled triangle10.0 points1. speed = 24 sq. ft/sec2. spe
University of Texas - MATH - 305G
to (aqt73) Section 3.8 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0011the base of the pole when he is 14 feet fromthe pole?1. tip speed =
University of Texas - MATH - 305G
to (aqt73) Section 3.9 isaacson (55826)This print-out should have 3 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001002110.0 pointsFind the dierential, dy , ofy = f (x) = tan(4x2 ) .1
University of Texas - MATH - 305G
to (aqt73) Section 4.1 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 points7. x = 55, 0,66 28. x = ,33003Find all the critic
University of Texas - MATH - 305G
to (aqt73) Section 4.1 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind all the critical points of f whenf ( x) =x2x.+ 25
University of Texas - MATH - 305G
to (aqt73) Section 4.2 isaacson (55826)This print-out should have 4 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsHow many real roots does the equationx5 + 5 x + 8 = 0have?
University of Texas - MATH - 305G
troyer (lmt836) Section 4.2 isaacson (55826)This print-out should have 4 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsHow many real roots does the equationx5 + 2 x + 6 = 0
University of Texas - MATH - 305G
troyer (lmt836) Section 4.3 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001002110.0 pointsUse the graph10.0 pointsThe derivative of a fun
University of Texas - MATH - 305G
to (aqt73) Section 4.4 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsDetermine if the limit2x + 1lim2 3x + 2x xexists, and i
University of Texas - MATH - 305G
to (aqt73) Section 4.5 isaacson (55826)This print-out should have 4 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001143.210.0 points42242424242If f is a function on (4, 4)
University of Texas - MATH - 305G
to (aqt73) Section 4.7 isaacson (55826)This print-out should have 4 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsA rectangular dog pound with three kennelsas shown in the g
University of Texas - MATH - 305G
to (aqt73) Section 4.9 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00112. F (x) = 7 sin x + 9 cos x + C3. none of these10.0 pointsFind the
University of Texas - MATH - 305G
to (aqt73) Section 7.1 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFive functions are dened by the tablex123456f ( x)3
University of Texas - MATH - 305G
to (aqt73) Section 7.3 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind the value of x when1x = 6 log2+ 9 log3 27 .82. ln
University of Texas - MATH - 305G
to (aqt73) Section 7.4 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001Find the derivative off (x) = ln10.0 points1. f (x) = Find the deriv
University of Texas - MATH - 305G
to (aqt73) Section 7.6 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsf (x) = 5 sin1 x + tan1 x .742. f (1) =1543. f (1) =1
University of Texas - MATH - 305G
to (aqt73) Section 7.8 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0014. A and B only5. B only10.0 points6. A onlyDetermine ifx3 + 6 x2 +
University of Texas - MATH - 305G
CH301Worksheet 0Doing Math Without a Calculator(Hint: It is amazing how much math you can do with a pencil and paper, like long division!, or, moreimportant, by estimating and approximating. For example, watch an experimental scientist at work using jus
University of Texas - MATH - 305G
CH301 Fall 2009 Worksheet 21. Calculate wavelength from the following frequencies.a) 625 kHzb) 734 MHzc) 8.4 E14 Hzd) 92 GHz2. Given the following energies, calculate the frequencies of the photons.a) 17 kJb) 564 E-25 Jc) 98 pJd) 230 J3. Rank t
University of Texas - MATH - 305G
CH301 Fall 2010 Worksheet 2: From EMR to QM to EC and Beyond1. Relate Electromagnetic radiation to physical phenomenaGamma rays, X-rays, UV, Visible, infrared, microwave, radio, televisionphenomenonElectromagnetic radiationCooks food by heating water